Quantum Signal Transmission and Phenomenon of Superradiance

Electronic transport through one-dimensional periodic structures is investigated utilizing the method of effective non-Hermitian Hamiltonian based on the Feshbach projection formalism [1]. In an open system the internal states become resonances. At sufficiently strong coupling to the leads the resonances undergo a sharp redistribution of decay widths resulting in segregation of short-lived ``superradiant" states and long-lived ``trapped" states. The superradiant phase transition significantly enhances the transport through the structure [2,~3]. One of the advantages of the formalism is its flexibility which allows for a straightforward incorporation of extra elements (qubits), disorder and additional degrees of freedom, such as phonons. Numerical results of transport through different structures are presented. \begingroup \renewcommand{\section}[2]{} \begin{thebibliography}{1} \bibitem{Zelevinsky} V.~V.~Sokolov and V.~G.~Zelevinsky, Ann. Phys. {\bf 216}, 323 (1992). \bibitem{Tayebi1} Y.~S.~Greenberg, C.~Merrigan, A.~Tayebi, and V.~Zelevinsky, Eur. Phys. J. B {\bf 86}, 368 (2013). \bibitem{Tayebi2} A.~Tayebi, and V.~Zelevinsky, AIP Conf. Proc., {\bf 1619}, 162 (2014). \end{thebibliography} \endgroup